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kupik [55]
3 years ago
14

599 N skier begins on a hill 32 m above the valley floor. He travels down to the valley floor and up a 18 m hill on the other si

de. Ignoring air resistance, what is his velocity at the top of the 18 m hill?
Work please!
Physics
1 answer:
KatRina [158]3 years ago
4 0

Answer:

v = 129.5 m / s

Explanation:

For this exercise we must use the conservation of mechanical energy.

Starting point. On the side of the first hill

           Em₀ = U = m g h₁

Final point. On the other hill

           Em_f = K + U = ½ m v² + mgh₂

where h2 is the latura of the ora hill

as they indicate that there is no friction, energy is conserved

            Em₀ = Em_f

             mgh₁ = ½ mv² + m gh₂

            v² = 2 mg (h1-h2)

            v = \sqrt{2m g( h_1 - h_2)}

let's calculate

           v = \sqrt{ 2 \ 599 \ ( 32-18)}

           v = 129.5 m / s

This speed is horizontal at the top of the hill

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One way to force air into an unconscious person's lungs is to squeeze on a balloon appropriately connected to the subject. What
frozen [14]

Answer:

The force that you must exert on the balloon is 1.96 N

Explanation:

Given;

height of water, h = 4.00 cm = 4 x 10⁻² m

effective area, A = 50.0 cm² = 50 x 10⁻⁴ m²

density of water, ρ = 1 x 10³ kg/m³

Gauge pressure of the balloon is calculated as;

P = ρgh

where;

ρ is density of water

g is acceleration due to gravity

h is height of water

P = 1 x 10³ x 9.8 x 4 x 10⁻²

P = 392 N/m²

The force exerted on the balloon is calculated as;

F = PA

where;

P is pressure of the balloon

A is the effective area

F = 392 x 50 x 10⁻⁴

F = 1.96 N

Therefore, the force that you must exert on the balloon is 1.96 N

3 0
4 years ago
According to the general theory of relativity, what are consequences of the curvature of space-time? Check all that apply. The d
Svetlanka [38]

Answer:

The dilation of time.

The falling of objects.

The changing of paths of light.

Explanation:

I have explained in the image attached below.

From the explanation, the correct ones are;

The dilation of time.

The falling of objects.

The changing of paths of light.

4 0
3 years ago
If an antelope can run 14.1 km in 39 min, how fast is it km/h(for reference , 110 km/h is 65 mph )
shtirl [24]
It might make more sense putting it another way but this is basically it. you just take the minutes and divide them by 60 to convert them to hours. then simplify the ratio

8 0
3 years ago
Read 2 more answers
A certain ocean wave has a frequency of 0.07 hertz and a wavelength of 10 meters. what is the wave's speed? a 0.07 m/s
Elis [28]
V=f*wavelength
v=0.07hz*10m
v=0.7 m/s
8 0
3 years ago
A metal ring 5.00 cm in diameter is placed between the north and south poles of large magnets with the plane of its area perpend
labwork [276]

Answer:

Ein: 2.75*10^-3 N/C

Explanation:

The induced electric field can be calculated by using the following path integral:

\int E_{in} dl=-\frac{\Phi_B}{dt}

Where:

dl: diferencial of circumference of the ring

circumference of the ring = 2πr = 2π(5.00/2)=15.70cm = 0.157 m

ФB: magnetic flux = AB (A: area of the loop = πr^2 = 1.96*10^-3 m^2)

The electric field is always parallel to the dl vector. Then you have:

E_{in}\int dl=E_{in}(2\pi r)=E_{in}(0.157m)

Next, you take into account that the area of the ring is constant and that dB/dt = - 0.220T/s. Thus, you obtain:

E_{in}(0.157m)=-A\frac{dB}{dt}=-(1.96*10^{-3}m^2)(-0.220T/s)=4.31*10^{-4}m^2T/s\\\\E_{in}=\frac{4.31*10^{-4}m^2T/s}{0.157m}=2.75*10^{-3}\frac{N}{C}

hence, the induced electric field is 2.75*10^-3 N/C

8 0
3 years ago
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